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  • 1.  
  • 2. Louis De Broglie (1924)
    • French physics graduate student
    • Proposed idea that accounted for the fixed energy levels in Bohr’s model
  • 3. If waves can have particle like characteristics, then can particles, such as electrons, have wave like characteristics???
  • 4. What he knew…
    • Electrons have wavelike motion (because it’s a particle)
    • An electron had restricted orbits
    • Each orbit had a fixed radius from the nucleus
    • Are a wide variety of wavelengths, frequencies, and energies possible?
  • 5.  
  • 6.
    • No…there could only be allowed certain possible frequencies, wavelengths, and energies in an atom
    • De Broglie came up with an equation for the wavelength of a particle of mass (m) moving at velocity (v).
  • 7. De Broglie’s Equation
  • 8. What does this equation do?
    • What are we using?
      • Wavelength
      • Planck’s constant
      • Mass of the particle
      • Velocity
    • Tells us that all moving particles have wave-like characteristics
  • 9. Food for thought…
    • Cars?
    • Baseball?
    • Do these have wavelike characteristics? Why or why not?
  • 10.
    • Yes…let’s look at the equation…
    • λ = h
    • mv
    • The car and the baseball do have a velocity and a mass…
    • Using De Broglie’s equation we do get a wavelength for the movement of a baseball and a car…
    • Let’s try the calculation…
  • 11. Problem time…
    • Mass of car= 910 kg
    • Velocity of car= 25m/s
    • What is the wavelength of the moving car?
      • 2.9 x 10^-38 m
    • How big is this?
    • Can we see or measure this wavelength?
      • No, much to small to be detected, even with the most sophisticated equipment
  • 12. Another one…
    • Electron speed= 25 m/s
    • Electron mass= 9.11 x 10^-28 g
    • What is the wavelength of the moving electron?
      • 2.9 x 10^-5 m
    • Do you think we can measure this wavelength and see it?
      • Yes, with the right equipment
  • 13. Practice makes perfect 
    • What is the wavelength of an electron of mass 9.11 x 10-28 kg traveling at a velocity of 2.00 x 108 m/s? (Planck's constant = 6.63 x 10-34 J/Hz.
    • 3.64 x 10-15m.
  • 14.